Twelve massless flavors and three colors below the conformal window

We report new results for a frequently discussed gauge theory with twelve fermion flavors in the fundamental representation of the SU(3) color gauge group. The model, controversial with respect to its conformality, is important in non-perturbative studies searching for a viable composite Higgs mechanism beyond the Standard Model (BSM). In comparison with earlier work, our new simulations apply larger volumes and probe deeper in fermion and pion masses toward the chiral limit. Investigating the controversy, we subject the model to opposite hypotheses with respect to the conformal window. In the first hypothesis, below the conformal window, we test chiral symmetry breaking (χSB) with its Goldstone spectrum, Fπ, the χSB condensate, and several composite hadron states as analytic functions of the fermion mass when varied in a limited range with our best effort to control finite volume effects. In the second test, for the alternate hypothesis inside the conformal window, we probe conformal behavior driven by a single anomalous mass dimension under the assumption of unbroken chiral symmetry at vanishing fermion mass. Our results at fixed gauge coupling, based on the assumptions of the two hypotheses we define, show low level of confidence in the conformal scenario with leading order scaling analysis. Relaxing the important assumption of leading mass-deformed conformality with its conformal finite size scaling would require added theoretical understanding of the scaling violation terms in the conformal analysis and a comprehensive test of its effects on the confidence level of the fits. Results for the running coupling, based on the force between static sources, and preliminary indications for the finite temperature transition are also presented. Staggered lattice fermions with stout-suppressed taste breaking are used throughout the simulations.     

Technicolor理论中的赝标格尔斯通粒子对t─→W~＋b过程所产生的虚效应

计算了Ｔｅｃｈｎｉｃｏｌｏｒ理论中的赝标格尔斯通粒子对ｔ→Ｗ＋ｂ过程的单圈贡献，并讨论了这种贡献对ｔ夸克和赝标格尔斯通粒子质量的依赖性．可以得出：当ｍｔ在１００—２００ＧｅＶ之间变化时，总的Ｔｅｃｈｎｉｃｏｌｏｒ单圈贡献从０．６％变到－２．０％．     

A light scalar in low-scale technicolor

In addition to the narrow spin-one resonances ρT${\rho }_T$, ωT${\omega }_T$ and aT$a_T$ occurring in low-scale technicolor, there will be relatively narrow scalars in the mass range 200 to 600–700 GeV. We study the lightest isoscalar state, σT${\sigma }_T$. In several important respects it is like a heavy Higgs boson with a small vev. It may be discoverable with high luminosity at the LHC where it is produced via weak boson fusion and likely has substantial W⁺W⁻$W^{+}{W}^{-}$ and Z⁰Z⁰$Z^0{Z}^0$ decay modes.     

Technicolor模型下QCD对衰变B→Xτv_τ的修正

在一代Ｔｅｃｈｎｉｃｏｌｏｒ模型下对内含的半轻子Ｂ衰变的（）阶修正进行了计算。将理论的预言与最近的实验结果比较，得到了荷电的色单态和色八重态赝标量粒子质量的下限：     

强子对撞机上中性top-pion介子产生过程pp(p)→(П_t~0П_t~0),b(П_t~0)的研究

在TC2模型框架下研究了强子对撞机Tevatron和LHC上中性top-pion介子Пt0的产生过程pp(p)→Пt0Пt0和pp(p)→bПt0．研究结果表明,在Tevatron上,这两个过程的产生截面都很小,通过这两个过程我们无法探测到中性top-pion介子．在LHC上,产生截面会大大增加,但通过Пt0Пt0的产生仍无法探测到中性top-pion介子．bПt0在LHC上的产生截面能达到几百个fb甚至pb的量级,LHC每年能产生104-105个bПt0事例．另外,味改变耦合Пt0tc的存在,使得实验能通过背景非常干净的衰变道Пt0→tc来探测Пt0．因此,通过bПt0这一产生机制,未来的LHC实验应能获得足够多的可鉴别的Пt0事例．我们的研究结果,可为LHC上寻找中性top-pions介子检验TC2模型提供有价值的理论指导．     

Nearly conformal gauge theories in finite volume

We report new results on nearly conformal gauge theories with fermions in the fundamental representation of the SU(3)$\mathit{SU}(3)$ color gauge group as the number of fermion flavors is varied in the Nf=4–16$N_f=4\text{–}16$ range. To unambiguously identify the chirally broken phase below the conformal window we apply a comprehensive lattice tool set in finite volumes which includes the test of Goldstone pion dynamics, the spectrum of the fermion Dirac operator, and eigenvalue distributions of random matrix theory. We also discuss the theory inside the conformal window and present our first results on the running of the renormalized gauge coupling and the renormalization group beta function. The importance of understanding finite volume zero momentum gauge field dynamics inside the conformal window is illustrated. Staggered lattice fermions are used throughout the calculations.     

Can the nearly conformal sextet gauge model hide the Higgs impostor?

New results are reported from large scale lattice simulations of a frequently discussed strongly interacting gauge theory with a fermion flavor doublet in the two-index symmetric (sextet) representation of the SU(3) color gauge group. We find that the chiral condensate and the mass spectrum of the sextet model are consistent with chiral symmetry breaking in the limit of vanishing fermion mass. In contrast, sextet fermion mass deformations of spectral properties are not consistent with leading conformal scaling behavior near the critical surface of a conformal theory. A recent paper could not resolve the conformal fixed point of the gauge coupling from the slowly walking scenario of a very small nearly vanishing β-function (DeGrand et al. [3]). It is argued that overall consistency with our new results is resolved if the sextet model is close to the conformal window, staying outside with a very small non-vanishing β-function. The model would exhibit then the simplest composite Higgs mechanism leaving open the possibility of a light scalar state with quantum numbers of the Higgs impostor. It would emerge as the pseudo-Goldstone dilaton state from spontaneous symmetry breaking of scale invariance. We will argue that even without association with the dilaton, the scalar Higgs-like state can be light very close to the conformal window. A new Higgs project of sextet lattice simulations is outlined to resolve these important questions.